We discuss some generic and recurrent properties in dynamical systems

We discuss any kind of shadowing property and their chaotic behaviours.

we discuss chain recurrent set and their properties

We discuss some properties of topological fundamental groups.

We discouss some chaotic behaviours of a new kind of shadowing property which is called ergodic shadowing property.

For an iterated function system (IFS), we investigate combinatorial issues relating to the use of random orbits and also we study stochastic properties of random orbits in topological dynamics of semigroup actions. Moreover, ...

Dear Dr. Ghane Ostadghassemi,

I have pleasure in inviting you to visit the Mathematics Section of the Abdus Salam International Centre for Theoretical Physics (ICTP) from 1 July to 23 July 2011, and to participate ...

Abstract. Here, we obtain some result about strong expansive homeomorphisms

on locally connected compact metric space X without any isolated

point. In particular, we prove that strong expansive homeomorphisms ...

The aim of this paper is to introduce the notion of ergodic shadowing for a continuous

onto map which is equivalent to the map being topologically mixing and has the

ordinary shadowing property. In particular, ...

Here, we prove that any continuum-wise expansive homeomor-

phism on a compact metric space has zero-dimensional minimal sets.

As a consequence, we can say that any continuum-wise expansive

homeomorphism ...